Item Infomation
Title: | Finite Element Systems for Vector Bundles: Elasticity and Curvature |
Authors: | Snorre H., Christiansen Kaibo, Hu |
Issue Date: | 2022 |
Publisher: | Springer |
Abstract: | We develop a theory of finite element systems, for the purpose of discretizing sections of vector bundles, in particular those arising in the theory of elasticity. In the presence of curvature, we prove a discrete Bianchi identity. In the flat case, we prove a de Rham theorem on cohomology groups. We check that some known mixed finite elements for the stress–displacement formulation of elasticity fit our framework. |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s10208-022-09555-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/7429 |
Appears in Collections | OER - Khoa học Tự nhiên |
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